Presence and absence of delocalization-localization transition in coherently perturbed disordered lattices

Yamada, Hiroaki; Ikeda, Kensuke S.

doi:10.1103/physreve.103.l040202

Cited by 2 publications

(4 citation statements)

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“…Using the A-type Harper model, we fixed at V = 1.3 as an unperturbated localized side, and investigate the LDT by imposing f ǫ (t), with comparing with results in the already reported 1D kicked Anderson and the Anderson models [39,40].…”

Section: Models and Some Preliminariesmentioning

confidence: 99%

“…However, in the Harper model, the case of M = 2 is completely localized on the small side of ǫ, and tends to persist the localization even on the large side of ǫ, and the LDT has not been observed. In other words, in the time-continuous Harper model with coherent multicolor perturbation, the DLT does not occur in the case of M = 2 corresponding to three degrees of freedom system, and the LDT occurs only in a case of M ≥ 3, as seen in 1D Anderson model [40].…”

Section: Introductionmentioning

confidence: 99%

“…The dynamics is not solely determined by the strength ǫ of the perturbation, but also the number of color M of the coherent perturbation. It was shown that for the timecontinuous 1D Anderson model modulated by a quasiperiodic time-perturbation of M colors, if there are three or more color perturbations (M ≥ 3), the Anderson localized states without the perturbation can be delocalized, and the LDT occurs as the increase of ǫ [40].…”

Section: Introductionmentioning

confidence: 99%

“…This result also corresponds well with the results for the KAM and Anderson models. [39][40][41] In Sec.II we introduce the model and the basic property. Section III explores the dynamical localizationdelocalization transition when perturbed by quasiperiodic oscillation with the component M and the strength ǫ.…”

Section: Introductionmentioning

confidence: 99%

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Localization and delocalization properties in quasi-periodically perturbed Kicked Harper and Harper models

Yamada¹,

Ikeda²

2021

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We numerically study the single particle localization and delocalization phenomena of an initially localized wave packet in the kicked Harper model (KHM) and Harper model subjected to quasiperiodic perturbation composed of M −modes. Both models are localized in the monochromatically perturbed case M = 1. KHM shows localization-delocalization transition (LDT) above M ≥ 2 as increase of the perturbation strength ǫ. In a time-continuous Harper model with the perturbation, it is confirmed that the localization persists for M = 2 and the LDT occurs for M ≥ 3. In addition, we investigate the diffusive property of the delocalized wave packet for ǫ above the critical strength ǫc (ǫ > ǫc). We also introduce other type systems without localization, which takes place a ballistic to diffusive transition in the wave packet dynamics as the increase of ǫ. In both systems, the ǫ−dependence of the diffusion coefficient well coincide with that in the other type system for large ǫ(> 1).

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Section: Models and Some Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations